520952148000 has 1536 divisors, whose sum is σ = 2116734197760. Its totient is φ = 125411328000.

The previous prime is 520952147981. The next prime is 520952148007. The reversal of 520952148000 is 841259025.

520952148000 is a `hidden beast` number, since 52 + 0 + 9 + 521 + 4 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×520952148000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (520952148007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4610195944 + ... + 4610196056.

It is an arithmetic number, because the mean of its divisors is an integer number (1378082160).

Almost surely, 2^520952148000 is an apocalyptic number.

520952148000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520952148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058367098880).

520952148000 is an abundant number, since it is smaller than the sum of its proper divisors (1595782049760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

520952148000 is a wasteful number, since it uses less digits than its factorization.

520952148000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 520952148000 in words is "five hundred twenty billion, nine hundred fifty-two million, one hundred forty-eight thousand".